848,484

2² × 3² × 7² × 13 × 37

Prime Factor Structure

Factorization String 2^2 × 3^2 × 7^2 × 13 × 37

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 108

Divisor Sum (σ) 2,759,484

Proper Divisor Sum 1,911,000

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #848473 ← → #848489

Radix Representation

Decimal	848484
Binary	11001111001001100100 (20 bits)
Octal	0o3171144
Hexadecimal	0xCF264

Divisor Catalog (60 of 108)

1 2 3 4 6 7 9 12 13 14 18 21 26 28 36 37 39 42 49 52 63 74 78 84 91 98 111 117 126 147 148 156 182 196 222 234 252 259 273 294 333 364 441 444 468 481 518 546 588 637 666 777 819 882 962 1,036 1,092 1,274 1,332 1,443

Collatz Trajectory (126 steps to reach 1)

Iterative sequence n → n/2 (if even) or 3n+1 (if odd):

848,484 424,242 212,121 636,364 318,182 159,091 477,274 238,637 715,912 357,956 178,978 89,489 268,468 134,234 67,117 201,352 100,676 50,338 25,169 75,508 37,754 18,877 56,632 28,316 14,158 7,079 21,238 10,619 31,858 15,929 47,788 23,894 11,947 35,842 17,921 53,764 26,882 13,441 40,324 20,162 10,081 30,244 15,122 7,561 22,684 11,342 5,671 17,014 8,507 25,522 12,761 38,284 19,142 9,571 28,714 14,357 43,072 21,536 10,768 5,384

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